1464 lines
56 KiB
Python
1464 lines
56 KiB
Python
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"""Base class for sparse matrix formats using compressed storage."""
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__all__ = []
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from warnings import warn
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import operator
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import numpy as np
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from scipy._lib._util import _prune_array, copy_if_needed
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from ._base import _spbase, issparse, sparray, SparseEfficiencyWarning
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from ._data import _data_matrix, _minmax_mixin
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from . import _sparsetools
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from ._sparsetools import (get_csr_submatrix, csr_sample_offsets, csr_todense,
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csr_sample_values, csr_row_index, csr_row_slice,
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csr_column_index1, csr_column_index2)
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from ._index import IndexMixin
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from ._sputils import (upcast, upcast_char, to_native, isdense, isshape,
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getdtype, isscalarlike, isintlike, downcast_intp_index,
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get_sum_dtype, check_shape, is_pydata_spmatrix)
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class _cs_matrix(_data_matrix, _minmax_mixin, IndexMixin):
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"""
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base array/matrix class for compressed row- and column-oriented arrays/matrices
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"""
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def __init__(self, arg1, shape=None, dtype=None, copy=False):
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_data_matrix.__init__(self, arg1)
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is_array = isinstance(self, sparray)
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if issparse(arg1):
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if arg1.format == self.format and copy:
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arg1 = arg1.copy()
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else:
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arg1 = arg1.asformat(self.format)
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self.indptr, self.indices, self.data, self._shape = (
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arg1.indptr, arg1.indices, arg1.data, arg1._shape
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)
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elif isinstance(arg1, tuple):
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if isshape(arg1, allow_1d=is_array):
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# It's a tuple of matrix dimensions (M, N)
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# create empty matrix
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self._shape = check_shape(arg1, allow_1d=is_array)
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M, N = self._swap(self._shape_as_2d)
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# Select index dtype large enough to pass array and
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# scalar parameters to sparsetools
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idx_dtype = self._get_index_dtype(maxval=max(self.shape))
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self.data = np.zeros(0, getdtype(dtype, default=float))
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self.indices = np.zeros(0, idx_dtype)
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self.indptr = np.zeros(M + 1, dtype=idx_dtype)
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else:
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if len(arg1) == 2:
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# (data, ij) format
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coo = self._coo_container(arg1, shape=shape, dtype=dtype)
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arrays = coo._coo_to_compressed(self._swap)
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self.indptr, self.indices, self.data, self._shape = arrays
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self.sum_duplicates()
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elif len(arg1) == 3:
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# (data, indices, indptr) format
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(data, indices, indptr) = arg1
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# Select index dtype large enough to pass array and
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# scalar parameters to sparsetools
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maxval = None
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if shape is not None and 0 not in shape:
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maxval = max(shape)
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idx_dtype = self._get_index_dtype((indices, indptr),
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maxval=maxval,
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check_contents=True)
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if not copy:
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copy = copy_if_needed
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self.indices = np.array(indices, copy=copy, dtype=idx_dtype)
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self.indptr = np.array(indptr, copy=copy, dtype=idx_dtype)
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self.data = np.array(data, copy=copy, dtype=dtype)
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else:
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raise ValueError(f"unrecognized {self.__class__.__name__} "
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f"constructor input: {arg1}")
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else:
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# must be dense
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try:
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arg1 = np.asarray(arg1)
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except Exception as e:
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raise ValueError(f"unrecognized {self.__class__.__name__} "
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f"constructor input: {arg1}") from e
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if isinstance(self, sparray) and arg1.ndim < 2 and self.format == "csc":
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raise ValueError(
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f"CSC arrays don't support {arg1.ndim}D input. Use 2D"
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)
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coo = self._coo_container(arg1, dtype=dtype)
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arrays = coo._coo_to_compressed(self._swap)
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self.indptr, self.indices, self.data, self._shape = arrays
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# Read matrix dimensions given, if any
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if shape is not None:
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self._shape = check_shape(shape, allow_1d=is_array)
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elif self.shape is None:
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# shape not already set, try to infer dimensions
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try:
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major_d = len(self.indptr) - 1
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minor_d = self.indices.max() + 1
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except Exception as e:
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raise ValueError('unable to infer matrix dimensions') from e
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self._shape = check_shape(self._swap((major_d, minor_d)), allow_1d=is_array)
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if dtype is not None:
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self.data = self.data.astype(dtype, copy=False)
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self.check_format(full_check=False)
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def _getnnz(self, axis=None):
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if axis is None:
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return int(self.indptr[-1])
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elif self.ndim == 1:
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if axis in (0, -1):
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return int(self.indptr[-1])
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raise ValueError('axis out of bounds')
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else:
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if axis < 0:
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axis += 2
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axis, _ = self._swap((axis, 1 - axis))
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_, N = self._swap(self.shape)
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if axis == 0:
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return np.bincount(downcast_intp_index(self.indices),
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minlength=N)
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elif axis == 1:
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return np.diff(self.indptr)
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raise ValueError('axis out of bounds')
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_getnnz.__doc__ = _spbase._getnnz.__doc__
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def check_format(self, full_check=True):
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"""Check whether the array/matrix respects the CSR or CSC format.
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Parameters
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----------
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full_check : bool, optional
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If `True`, run rigorous check, scanning arrays for valid values.
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Note that activating those check might copy arrays for casting,
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modifying indices and index pointers' inplace.
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If `False`, run basic checks on attributes. O(1) operations.
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Default is `True`.
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"""
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# index arrays should have integer data types
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if self.indptr.dtype.kind != 'i':
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warn(f"indptr array has non-integer dtype ({self.indptr.dtype.name})",
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stacklevel=3)
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if self.indices.dtype.kind != 'i':
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warn(f"indices array has non-integer dtype ({self.indices.dtype.name})",
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stacklevel=3)
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# check array shapes
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for x in [self.data.ndim, self.indices.ndim, self.indptr.ndim]:
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if x != 1:
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raise ValueError('data, indices, and indptr should be 1-D')
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# check index pointer. Use _swap to determine proper bounds
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M, N = self._swap(self._shape_as_2d)
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if (len(self.indptr) != M + 1):
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raise ValueError(f"index pointer size {len(self.indptr)} should be {M + 1}")
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if (self.indptr[0] != 0):
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raise ValueError("index pointer should start with 0")
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# check index and data arrays
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if (len(self.indices) != len(self.data)):
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raise ValueError("indices and data should have the same size")
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if (self.indptr[-1] > len(self.indices)):
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raise ValueError("Last value of index pointer should be less than "
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"the size of index and data arrays")
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self.prune()
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if full_check:
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# check format validity (more expensive)
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if self.nnz > 0:
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if self.indices.max() >= N:
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raise ValueError(f"indices must be < {N}")
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if self.indices.min() < 0:
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raise ValueError("indices must be >= 0")
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if np.diff(self.indptr).min() < 0:
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raise ValueError("indptr must be a non-decreasing sequence")
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idx_dtype = self._get_index_dtype((self.indptr, self.indices))
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self.indptr = np.asarray(self.indptr, dtype=idx_dtype)
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self.indices = np.asarray(self.indices, dtype=idx_dtype)
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self.data = to_native(self.data)
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# if not self.has_sorted_indices():
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# warn('Indices were not in sorted order. Sorting indices.')
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# self.sort_indices()
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# assert(self.has_sorted_indices())
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# TODO check for duplicates?
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#######################
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# Boolean comparisons #
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#######################
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def _scalar_binopt(self, other, op):
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"""Scalar version of self._binopt, for cases in which no new nonzeros
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are added. Produces a new sparse array in canonical form.
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"""
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self.sum_duplicates()
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res = self._with_data(op(self.data, other), copy=True)
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res.eliminate_zeros()
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return res
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def __eq__(self, other):
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# Scalar other.
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if isscalarlike(other):
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if np.isnan(other):
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return self.__class__(self.shape, dtype=np.bool_)
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if other == 0:
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warn("Comparing a sparse matrix with 0 using == is inefficient"
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", try using != instead.", SparseEfficiencyWarning,
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stacklevel=3)
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all_true = self.__class__(np.ones(self.shape, dtype=np.bool_))
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inv = self._scalar_binopt(other, operator.ne)
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return all_true - inv
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else:
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return self._scalar_binopt(other, operator.eq)
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# Dense other.
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elif isdense(other):
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return self.todense() == other
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# Pydata sparse other.
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elif is_pydata_spmatrix(other):
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return NotImplemented
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# Sparse other.
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elif issparse(other):
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warn("Comparing sparse matrices using == is inefficient, try using"
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" != instead.", SparseEfficiencyWarning, stacklevel=3)
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# TODO sparse broadcasting
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if self.shape != other.shape:
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return False
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elif self.format != other.format:
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other = other.asformat(self.format)
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res = self._binopt(other, '_ne_')
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all_true = self.__class__(np.ones(self.shape, dtype=np.bool_))
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return all_true - res
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else:
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return NotImplemented
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def __ne__(self, other):
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# Scalar other.
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if isscalarlike(other):
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if np.isnan(other):
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warn("Comparing a sparse matrix with nan using != is"
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" inefficient", SparseEfficiencyWarning, stacklevel=3)
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all_true = self.__class__(np.ones(self.shape, dtype=np.bool_))
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return all_true
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elif other != 0:
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warn("Comparing a sparse matrix with a nonzero scalar using !="
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" is inefficient, try using == instead.",
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SparseEfficiencyWarning, stacklevel=3)
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all_true = self.__class__(np.ones(self.shape), dtype=np.bool_)
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inv = self._scalar_binopt(other, operator.eq)
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return all_true - inv
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else:
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return self._scalar_binopt(other, operator.ne)
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# Dense other.
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elif isdense(other):
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return self.todense() != other
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# Pydata sparse other.
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elif is_pydata_spmatrix(other):
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return NotImplemented
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# Sparse other.
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elif issparse(other):
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# TODO sparse broadcasting
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if self.shape != other.shape:
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return True
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elif self.format != other.format:
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other = other.asformat(self.format)
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return self._binopt(other, '_ne_')
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else:
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return NotImplemented
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def _inequality(self, other, op, op_name, bad_scalar_msg):
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# Scalar other.
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if isscalarlike(other):
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if 0 == other and op_name in ('_le_', '_ge_'):
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raise NotImplementedError(" >= and <= don't work with 0.")
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elif op(0, other):
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warn(bad_scalar_msg, SparseEfficiencyWarning, stacklevel=3)
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other_arr = np.empty(self.shape, dtype=np.result_type(other))
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other_arr.fill(other)
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other_arr = self.__class__(other_arr)
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return self._binopt(other_arr, op_name)
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else:
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return self._scalar_binopt(other, op)
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# Dense other.
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elif isdense(other):
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return op(self.todense(), other)
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# Sparse other.
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elif issparse(other):
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# TODO sparse broadcasting
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if self.shape != other.shape:
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raise ValueError("inconsistent shapes")
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elif self.format != other.format:
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other = other.asformat(self.format)
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if op_name not in ('_ge_', '_le_'):
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return self._binopt(other, op_name)
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warn("Comparing sparse matrices using >= and <= is inefficient, "
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"using <, >, or !=, instead.",
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SparseEfficiencyWarning, stacklevel=3)
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all_true = self.__class__(np.ones(self.shape, dtype=np.bool_))
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res = self._binopt(other, '_gt_' if op_name == '_le_' else '_lt_')
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return all_true - res
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else:
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return NotImplemented
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def __lt__(self, other):
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return self._inequality(other, operator.lt, '_lt_',
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"Comparing a sparse matrix with a scalar "
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"greater than zero using < is inefficient, "
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"try using >= instead.")
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def __gt__(self, other):
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return self._inequality(other, operator.gt, '_gt_',
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"Comparing a sparse matrix with a scalar "
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"less than zero using > is inefficient, "
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"try using <= instead.")
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def __le__(self, other):
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return self._inequality(other, operator.le, '_le_',
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"Comparing a sparse matrix with a scalar "
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"greater than zero using <= is inefficient, "
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"try using > instead.")
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def __ge__(self, other):
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return self._inequality(other, operator.ge, '_ge_',
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"Comparing a sparse matrix with a scalar "
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"less than zero using >= is inefficient, "
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"try using < instead.")
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#################################
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# Arithmetic operator overrides #
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#################################
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def _add_dense(self, other):
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if other.shape != self.shape:
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raise ValueError(f'Incompatible shapes ({self.shape} and {other.shape})')
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dtype = upcast_char(self.dtype.char, other.dtype.char)
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order = self._swap('CF')[0]
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result = np.array(other, dtype=dtype, order=order, copy=True)
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|
y = result if result.flags.c_contiguous else result.T
|
||
|
|
M, N = self._swap(self._shape_as_2d)
|
||
|
|
csr_todense(M, N, self.indptr, self.indices, self.data, y)
|
||
|
|
return self._container(result, copy=False)
|
||
|
|
|
||
|
|
def _add_sparse(self, other):
|
||
|
|
return self._binopt(other, '_plus_')
|
||
|
|
|
||
|
|
def _sub_sparse(self, other):
|
||
|
|
return self._binopt(other, '_minus_')
|
||
|
|
|
||
|
|
def multiply(self, other):
|
||
|
|
"""Point-wise multiplication by array/matrix, vector, or scalar."""
|
||
|
|
# Scalar multiplication.
|
||
|
|
if isscalarlike(other):
|
||
|
|
return self._mul_scalar(other)
|
||
|
|
# Sparse matrix or vector.
|
||
|
|
if issparse(other):
|
||
|
|
if self.shape == other.shape:
|
||
|
|
other = self.__class__(other)
|
||
|
|
return self._binopt(other, '_elmul_')
|
||
|
|
# Single element.
|
||
|
|
if other.shape == (1, 1):
|
||
|
|
result = self._mul_scalar(other.toarray()[0, 0])
|
||
|
|
if self.ndim == 1:
|
||
|
|
return result.reshape((1, self.shape[0]))
|
||
|
|
return result
|
||
|
|
if other.shape == (1,):
|
||
|
|
return self._mul_scalar(other.toarray()[0])
|
||
|
|
if self.shape in ((1,), (1, 1)):
|
||
|
|
return other._mul_scalar(self.data.sum())
|
||
|
|
|
||
|
|
# broadcast. treat 1d like a row
|
||
|
|
sM, sN = self._shape_as_2d
|
||
|
|
oM, oN = other._shape_as_2d
|
||
|
|
# A row times a column.
|
||
|
|
if sM == 1 and oN == 1:
|
||
|
|
return other._matmul_sparse(self.reshape(sM, sN).tocsc())
|
||
|
|
if sN == 1 and oM == 1:
|
||
|
|
return self._matmul_sparse(other.reshape(oM, oN).tocsc())
|
||
|
|
|
||
|
|
is_array = isinstance(self, sparray)
|
||
|
|
# Other is a row.
|
||
|
|
if oM == 1 and sN == oN:
|
||
|
|
new_other = _make_diagonal_csr(other.toarray().ravel(), is_array)
|
||
|
|
result = self._matmul_sparse(new_other)
|
||
|
|
return result if self.ndim == 2 else result.reshape((1, oN))
|
||
|
|
# self is a row.
|
||
|
|
if sM == 1 and sN == oN:
|
||
|
|
copy = _make_diagonal_csr(self.toarray().ravel(), is_array)
|
||
|
|
return other._matmul_sparse(copy)
|
||
|
|
|
||
|
|
# Other is a column.
|
||
|
|
if oN == 1 and sM == oM:
|
||
|
|
new_other = _make_diagonal_csr(other.toarray().ravel(), is_array)
|
||
|
|
return new_other._matmul_sparse(self)
|
||
|
|
# self is a column.
|
||
|
|
if sN == 1 and sM == oM:
|
||
|
|
new_self = _make_diagonal_csr(self.toarray().ravel(), is_array)
|
||
|
|
return new_self._matmul_sparse(other)
|
||
|
|
raise ValueError("inconsistent shapes")
|
||
|
|
|
||
|
|
# Assume other is a dense matrix/array, which produces a single-item
|
||
|
|
# object array if other isn't convertible to ndarray.
|
||
|
|
other = np.asanyarray(other)
|
||
|
|
|
||
|
|
if other.ndim > 2:
|
||
|
|
return np.multiply(self.toarray(), other)
|
||
|
|
# Single element / wrapped object.
|
||
|
|
if other.size == 1:
|
||
|
|
if other.dtype == np.object_:
|
||
|
|
# 'other' not convertible to ndarray.
|
||
|
|
return NotImplemented
|
||
|
|
bshape = np.broadcast_shapes(self.shape, other.shape)
|
||
|
|
return self._mul_scalar(other.flat[0]).reshape(bshape)
|
||
|
|
# Fast case for trivial sparse matrix.
|
||
|
|
if self.shape in ((1,), (1, 1)):
|
||
|
|
bshape = np.broadcast_shapes(self.shape, other.shape)
|
||
|
|
return np.multiply(self.data.sum(), other).reshape(bshape)
|
||
|
|
|
||
|
|
ret = self.tocoo()
|
||
|
|
# Matching shapes.
|
||
|
|
if self.shape == other.shape:
|
||
|
|
data = np.multiply(ret.data, other[ret.coords])
|
||
|
|
ret.data = data.view(np.ndarray).ravel()
|
||
|
|
return ret
|
||
|
|
|
||
|
|
# convert other to 2d
|
||
|
|
other2d = np.atleast_2d(other)
|
||
|
|
# Sparse row vector times...
|
||
|
|
if self.shape[0] == 1 or self.ndim == 1:
|
||
|
|
if other2d.shape[1] == 1: # Dense column vector.
|
||
|
|
data = np.multiply(ret.data, other2d)
|
||
|
|
elif other2d.shape[1] == self.shape[-1]: # Dense 2d matrix.
|
||
|
|
data = np.multiply(ret.data, other2d[:, ret.col])
|
||
|
|
else:
|
||
|
|
raise ValueError("inconsistent shapes")
|
||
|
|
row = np.repeat(np.arange(other2d.shape[0]), ret.nnz)
|
||
|
|
col = np.tile(ret.col, other2d.shape[0])
|
||
|
|
return self._coo_container(
|
||
|
|
(data.view(np.ndarray).ravel(), (row, col)),
|
||
|
|
shape=(other2d.shape[0], self.shape[-1]),
|
||
|
|
copy=False
|
||
|
|
)
|
||
|
|
# Sparse column vector times...
|
||
|
|
if self.shape[1] == 1:
|
||
|
|
if other2d.shape[0] == 1: # Dense row vector.
|
||
|
|
data = np.multiply(ret.data[:, None], other2d)
|
||
|
|
elif other2d.shape[0] == self.shape[0]: # Dense 2d array.
|
||
|
|
data = np.multiply(ret.data[:, None], other2d[ret.row])
|
||
|
|
else:
|
||
|
|
raise ValueError("inconsistent shapes")
|
||
|
|
row = np.repeat(ret.row, other2d.shape[1])
|
||
|
|
col = np.tile(np.arange(other2d.shape[1]), len(ret.col))
|
||
|
|
return self._coo_container(
|
||
|
|
(data.view(np.ndarray).ravel(), (row, col)),
|
||
|
|
shape=(self.shape[0], other2d.shape[1]),
|
||
|
|
copy=False
|
||
|
|
)
|
||
|
|
# Sparse matrix times dense row vector.
|
||
|
|
if other2d.shape[0] == 1 and self.shape[1] == other2d.shape[1]:
|
||
|
|
data = np.multiply(ret.data, other2d[:, ret.col].ravel())
|
||
|
|
# Sparse matrix times dense column vector.
|
||
|
|
elif other2d.shape[1] == 1 and self.shape[0] == other2d.shape[0]:
|
||
|
|
data = np.multiply(ret.data, other2d[ret.row].ravel())
|
||
|
|
else:
|
||
|
|
raise ValueError("inconsistent shapes")
|
||
|
|
ret.data = data.view(np.ndarray).ravel()
|
||
|
|
return ret
|
||
|
|
|
||
|
|
###########################
|
||
|
|
# Multiplication handlers #
|
||
|
|
###########################
|
||
|
|
|
||
|
|
def _matmul_vector(self, other):
|
||
|
|
M, N = self._shape_as_2d
|
||
|
|
|
||
|
|
# output array
|
||
|
|
result = np.zeros(M, dtype=upcast_char(self.dtype.char, other.dtype.char))
|
||
|
|
|
||
|
|
# csr_matvec or csc_matvec
|
||
|
|
fn = getattr(_sparsetools, self.format + '_matvec')
|
||
|
|
fn(M, N, self.indptr, self.indices, self.data, other, result)
|
||
|
|
|
||
|
|
return result[0] if self.ndim == 1 else result
|
||
|
|
|
||
|
|
def _matmul_multivector(self, other):
|
||
|
|
M, N = self._shape_as_2d
|
||
|
|
n_vecs = other.shape[-1] # number of column vectors
|
||
|
|
|
||
|
|
result = np.zeros((M, n_vecs),
|
||
|
|
dtype=upcast_char(self.dtype.char, other.dtype.char))
|
||
|
|
|
||
|
|
# csr_matvecs or csc_matvecs
|
||
|
|
fn = getattr(_sparsetools, self.format + '_matvecs')
|
||
|
|
fn(M, N, n_vecs, self.indptr, self.indices, self.data,
|
||
|
|
other.ravel(), result.ravel())
|
||
|
|
|
||
|
|
if self.ndim == 1:
|
||
|
|
return result.reshape((n_vecs,))
|
||
|
|
return result
|
||
|
|
|
||
|
|
def _matmul_sparse(self, other):
|
||
|
|
M, K1 = self._shape_as_2d
|
||
|
|
# if other is 1d, treat as a **column**
|
||
|
|
o_ndim = other.ndim
|
||
|
|
if o_ndim == 1:
|
||
|
|
# convert 1d array to a 2d column when on the right of @
|
||
|
|
other = other.reshape((1, other.shape[0])).T # Note: converts to CSC
|
||
|
|
K2, N = other._shape
|
||
|
|
|
||
|
|
# find new_shape: (M, N), (M,), (N,) or ()
|
||
|
|
new_shape = ()
|
||
|
|
if self.ndim == 2:
|
||
|
|
new_shape += (M,)
|
||
|
|
if o_ndim == 2:
|
||
|
|
new_shape += (N,)
|
||
|
|
|
||
|
|
major_dim = self._swap((M, N))[0]
|
||
|
|
other = self.__class__(other) # convert to this format
|
||
|
|
|
||
|
|
idx_dtype = self._get_index_dtype((self.indptr, self.indices,
|
||
|
|
other.indptr, other.indices))
|
||
|
|
|
||
|
|
fn = getattr(_sparsetools, self.format + '_matmat_maxnnz')
|
||
|
|
nnz = fn(M, N,
|
||
|
|
np.asarray(self.indptr, dtype=idx_dtype),
|
||
|
|
np.asarray(self.indices, dtype=idx_dtype),
|
||
|
|
np.asarray(other.indptr, dtype=idx_dtype),
|
||
|
|
np.asarray(other.indices, dtype=idx_dtype))
|
||
|
|
if nnz == 0:
|
||
|
|
if new_shape == ():
|
||
|
|
return np.array(0, dtype=upcast(self.dtype, other.dtype))
|
||
|
|
return self.__class__(new_shape, dtype=upcast(self.dtype, other.dtype))
|
||
|
|
|
||
|
|
idx_dtype = self._get_index_dtype((self.indptr, self.indices,
|
||
|
|
other.indptr, other.indices),
|
||
|
|
maxval=nnz)
|
||
|
|
|
||
|
|
indptr = np.empty(major_dim + 1, dtype=idx_dtype)
|
||
|
|
indices = np.empty(nnz, dtype=idx_dtype)
|
||
|
|
data = np.empty(nnz, dtype=upcast(self.dtype, other.dtype))
|
||
|
|
|
||
|
|
fn = getattr(_sparsetools, self.format + '_matmat')
|
||
|
|
fn(M, N, np.asarray(self.indptr, dtype=idx_dtype),
|
||
|
|
np.asarray(self.indices, dtype=idx_dtype),
|
||
|
|
self.data,
|
||
|
|
np.asarray(other.indptr, dtype=idx_dtype),
|
||
|
|
np.asarray(other.indices, dtype=idx_dtype),
|
||
|
|
other.data,
|
||
|
|
indptr, indices, data)
|
||
|
|
|
||
|
|
if new_shape == ():
|
||
|
|
return np.array(data[0])
|
||
|
|
return self.__class__((data, indices, indptr), shape=new_shape)
|
||
|
|
|
||
|
|
def diagonal(self, k=0):
|
||
|
|
rows, cols = self.shape
|
||
|
|
if k <= -rows or k >= cols:
|
||
|
|
return np.empty(0, dtype=self.data.dtype)
|
||
|
|
fn = getattr(_sparsetools, self.format + "_diagonal")
|
||
|
|
y = np.empty(min(rows + min(k, 0), cols - max(k, 0)),
|
||
|
|
dtype=upcast(self.dtype))
|
||
|
|
fn(k, self.shape[0], self.shape[1], self.indptr, self.indices,
|
||
|
|
self.data, y)
|
||
|
|
return y
|
||
|
|
|
||
|
|
diagonal.__doc__ = _spbase.diagonal.__doc__
|
||
|
|
|
||
|
|
#####################
|
||
|
|
# Other binary ops #
|
||
|
|
#####################
|
||
|
|
|
||
|
|
def _maximum_minimum(self, other, npop, op_name, dense_check):
|
||
|
|
if isscalarlike(other):
|
||
|
|
if dense_check(other):
|
||
|
|
warn("Taking maximum (minimum) with > 0 (< 0) number results"
|
||
|
|
" to a dense matrix.", SparseEfficiencyWarning,
|
||
|
|
stacklevel=3)
|
||
|
|
other_arr = np.empty(self.shape, dtype=np.asarray(other).dtype)
|
||
|
|
other_arr.fill(other)
|
||
|
|
other_arr = self.__class__(other_arr)
|
||
|
|
return self._binopt(other_arr, op_name)
|
||
|
|
else:
|
||
|
|
self.sum_duplicates()
|
||
|
|
new_data = npop(self.data, np.asarray(other))
|
||
|
|
mat = self.__class__((new_data, self.indices, self.indptr),
|
||
|
|
dtype=new_data.dtype, shape=self.shape)
|
||
|
|
return mat
|
||
|
|
elif isdense(other):
|
||
|
|
return npop(self.todense(), other)
|
||
|
|
elif issparse(other):
|
||
|
|
return self._binopt(other, op_name)
|
||
|
|
else:
|
||
|
|
raise ValueError("Operands not compatible.")
|
||
|
|
|
||
|
|
def maximum(self, other):
|
||
|
|
return self._maximum_minimum(other, np.maximum,
|
||
|
|
'_maximum_', lambda x: np.asarray(x) > 0)
|
||
|
|
|
||
|
|
maximum.__doc__ = _spbase.maximum.__doc__
|
||
|
|
|
||
|
|
def minimum(self, other):
|
||
|
|
return self._maximum_minimum(other, np.minimum,
|
||
|
|
'_minimum_', lambda x: np.asarray(x) < 0)
|
||
|
|
|
||
|
|
minimum.__doc__ = _spbase.minimum.__doc__
|
||
|
|
|
||
|
|
#####################
|
||
|
|
# Reduce operations #
|
||
|
|
#####################
|
||
|
|
|
||
|
|
def sum(self, axis=None, dtype=None, out=None):
|
||
|
|
"""Sum the array/matrix over the given axis. If the axis is None, sum
|
||
|
|
over both rows and columns, returning a scalar.
|
||
|
|
"""
|
||
|
|
# The _spbase base class already does axis=0 and axis=1 efficiently
|
||
|
|
# so we only do the case axis=None here
|
||
|
|
if (self.ndim == 2 and not hasattr(self, 'blocksize') and
|
||
|
|
axis in self._swap(((1, -1), (0, -2)))[0]):
|
||
|
|
# faster than multiplication for large minor axis in CSC/CSR
|
||
|
|
res_dtype = get_sum_dtype(self.dtype)
|
||
|
|
ret = np.zeros(len(self.indptr) - 1, dtype=res_dtype)
|
||
|
|
|
||
|
|
major_index, value = self._minor_reduce(np.add)
|
||
|
|
ret[major_index] = value
|
||
|
|
ret = self._ascontainer(ret)
|
||
|
|
if axis % 2 == 1:
|
||
|
|
ret = ret.T
|
||
|
|
|
||
|
|
if out is not None and out.shape != ret.shape:
|
||
|
|
raise ValueError('dimensions do not match')
|
||
|
|
|
||
|
|
return ret.sum(axis=(), dtype=dtype, out=out)
|
||
|
|
else:
|
||
|
|
# _spbase handles the situations when axis is in {None, -2, -1, 0, 1}
|
||
|
|
return _spbase.sum(self, axis=axis, dtype=dtype, out=out)
|
||
|
|
|
||
|
|
sum.__doc__ = _spbase.sum.__doc__
|
||
|
|
|
||
|
|
def _minor_reduce(self, ufunc, data=None):
|
||
|
|
"""Reduce nonzeros with a ufunc over the minor axis when non-empty
|
||
|
|
|
||
|
|
Can be applied to a function of self.data by supplying data parameter.
|
||
|
|
|
||
|
|
Warning: this does not call sum_duplicates()
|
||
|
|
|
||
|
|
Returns
|
||
|
|
-------
|
||
|
|
major_index : array of ints
|
||
|
|
Major indices where nonzero
|
||
|
|
|
||
|
|
value : array of self.dtype
|
||
|
|
Reduce result for nonzeros in each major_index
|
||
|
|
"""
|
||
|
|
if data is None:
|
||
|
|
data = self.data
|
||
|
|
major_index = np.flatnonzero(np.diff(self.indptr))
|
||
|
|
value = ufunc.reduceat(data,
|
||
|
|
downcast_intp_index(self.indptr[major_index]))
|
||
|
|
return major_index, value
|
||
|
|
|
||
|
|
#######################
|
||
|
|
# Getting and Setting #
|
||
|
|
#######################
|
||
|
|
|
||
|
|
def _get_int(self, idx):
|
||
|
|
if 0 <= idx <= self.shape[0]:
|
||
|
|
spot = np.flatnonzero(self.indices == idx)
|
||
|
|
if spot.size:
|
||
|
|
return self.data[spot[0]]
|
||
|
|
return self.data.dtype.type(0)
|
||
|
|
raise IndexError(f'index ({idx}) out of range')
|
||
|
|
|
||
|
|
# For now, 1d only has integer indexing. Soon we will add get_slice/array
|
||
|
|
# def _get_slice(self, idx):
|
||
|
|
# if idx == slice(None):
|
||
|
|
# return self.copy()
|
||
|
|
# if idx.step in (1, None):
|
||
|
|
# major, minor = self._swap((0, idx))
|
||
|
|
# ret = self._get_submatrix(major, minor, copy=True)
|
||
|
|
# return ret.reshape(ret.shape[-1])
|
||
|
|
#
|
||
|
|
# _slice = self._swap((self._minor_slice, self._major_slice))[0]
|
||
|
|
# return _slice(idx)
|
||
|
|
#
|
||
|
|
# def _get_array(self, idx):
|
||
|
|
# idx = np.asarray(idx)
|
||
|
|
# idx_dtype = self.indices.dtype
|
||
|
|
# M, N = self._swap((1, self.shape[0]))
|
||
|
|
# row = np.zeros_like(idx, dtype=idx_dtype)
|
||
|
|
# major, minor = self._swap((row, idx))
|
||
|
|
# major = np.asarray(major, dtype=idx_dtype)
|
||
|
|
# minor = np.asarray(minor, dtype=idx_dtype)
|
||
|
|
# if minor.size == 0:
|
||
|
|
# return self.__class__([], dtype=self.dtype)
|
||
|
|
# new_shape = minor.shape if minor.shape[0] > 1 else (minor.shape[-1],)
|
||
|
|
#
|
||
|
|
# val = np.empty(major.size, dtype=self.dtype)
|
||
|
|
# csr_sample_values(M, N, self.indptr, self.indices, self.data,
|
||
|
|
# major.size, major.ravel(), minor.ravel(), val)
|
||
|
|
# return self.__class__(val.reshape(new_shape))
|
||
|
|
|
||
|
|
def _get_intXint(self, row, col):
|
||
|
|
M, N = self._swap(self.shape)
|
||
|
|
major, minor = self._swap((row, col))
|
||
|
|
indptr, indices, data = get_csr_submatrix(
|
||
|
|
M, N, self.indptr, self.indices, self.data,
|
||
|
|
major, major + 1, minor, minor + 1)
|
||
|
|
return data.sum(dtype=self.dtype)
|
||
|
|
|
||
|
|
def _get_sliceXslice(self, row, col):
|
||
|
|
major, minor = self._swap((row, col))
|
||
|
|
if major.step in (1, None) and minor.step in (1, None):
|
||
|
|
return self._get_submatrix(major, minor, copy=True)
|
||
|
|
return self._major_slice(major)._minor_slice(minor)
|
||
|
|
|
||
|
|
def _get_arrayXarray(self, row, col):
|
||
|
|
# inner indexing
|
||
|
|
idx_dtype = self.indices.dtype
|
||
|
|
M, N = self._swap(self.shape)
|
||
|
|
major, minor = self._swap((row, col))
|
||
|
|
major = np.asarray(major, dtype=idx_dtype)
|
||
|
|
minor = np.asarray(minor, dtype=idx_dtype)
|
||
|
|
|
||
|
|
val = np.empty(major.size, dtype=self.dtype)
|
||
|
|
csr_sample_values(M, N, self.indptr, self.indices, self.data,
|
||
|
|
major.size, major.ravel(), minor.ravel(), val)
|
||
|
|
if major.ndim == 1:
|
||
|
|
return self._ascontainer(val)
|
||
|
|
return self.__class__(val.reshape(major.shape))
|
||
|
|
|
||
|
|
def _get_columnXarray(self, row, col):
|
||
|
|
# outer indexing
|
||
|
|
major, minor = self._swap((row, col))
|
||
|
|
return self._major_index_fancy(major)._minor_index_fancy(minor)
|
||
|
|
|
||
|
|
def _major_index_fancy(self, idx):
|
||
|
|
"""Index along the major axis where idx is an array of ints.
|
||
|
|
"""
|
||
|
|
idx_dtype = self._get_index_dtype((self.indptr, self.indices))
|
||
|
|
indices = np.asarray(idx, dtype=idx_dtype).ravel()
|
||
|
|
|
||
|
|
N = self._swap(self._shape_as_2d)[1]
|
||
|
|
M = len(indices)
|
||
|
|
new_shape = self._swap((M, N)) if self.ndim == 2 else (M,)
|
||
|
|
if M == 0:
|
||
|
|
return self.__class__(new_shape, dtype=self.dtype)
|
||
|
|
|
||
|
|
row_nnz = (self.indptr[indices + 1] - self.indptr[indices]).astype(idx_dtype)
|
||
|
|
|
||
|
|
res_indptr = np.zeros(M+1, dtype=idx_dtype)
|
||
|
|
np.cumsum(row_nnz, out=res_indptr[1:])
|
||
|
|
|
||
|
|
nnz = res_indptr[-1]
|
||
|
|
res_indices = np.empty(nnz, dtype=idx_dtype)
|
||
|
|
res_data = np.empty(nnz, dtype=self.dtype)
|
||
|
|
csr_row_index(
|
||
|
|
M,
|
||
|
|
indices,
|
||
|
|
self.indptr.astype(idx_dtype, copy=False),
|
||
|
|
self.indices.astype(idx_dtype, copy=False),
|
||
|
|
self.data,
|
||
|
|
res_indices,
|
||
|
|
res_data
|
||
|
|
)
|
||
|
|
|
||
|
|
return self.__class__((res_data, res_indices, res_indptr),
|
||
|
|
shape=new_shape, copy=False)
|
||
|
|
|
||
|
|
def _major_slice(self, idx, copy=False):
|
||
|
|
"""Index along the major axis where idx is a slice object.
|
||
|
|
"""
|
||
|
|
if idx == slice(None):
|
||
|
|
return self.copy() if copy else self
|
||
|
|
|
||
|
|
M, N = self._swap(self._shape_as_2d)
|
||
|
|
start, stop, step = idx.indices(M)
|
||
|
|
M = len(range(start, stop, step))
|
||
|
|
new_shape = self._swap((M, N)) if self.ndim == 2 else (M,)
|
||
|
|
if M == 0:
|
||
|
|
return self.__class__(new_shape, dtype=self.dtype)
|
||
|
|
|
||
|
|
# Work out what slices are needed for `row_nnz`
|
||
|
|
# start,stop can be -1, only if step is negative
|
||
|
|
start0, stop0 = start, stop
|
||
|
|
if stop == -1 and start >= 0:
|
||
|
|
stop0 = None
|
||
|
|
start1, stop1 = start + 1, stop + 1
|
||
|
|
|
||
|
|
row_nnz = self.indptr[start1:stop1:step] - \
|
||
|
|
self.indptr[start0:stop0:step]
|
||
|
|
idx_dtype = self.indices.dtype
|
||
|
|
res_indptr = np.zeros(M+1, dtype=idx_dtype)
|
||
|
|
np.cumsum(row_nnz, out=res_indptr[1:])
|
||
|
|
|
||
|
|
if step == 1:
|
||
|
|
all_idx = slice(self.indptr[start], self.indptr[stop])
|
||
|
|
res_indices = np.array(self.indices[all_idx], copy=copy)
|
||
|
|
res_data = np.array(self.data[all_idx], copy=copy)
|
||
|
|
else:
|
||
|
|
nnz = res_indptr[-1]
|
||
|
|
res_indices = np.empty(nnz, dtype=idx_dtype)
|
||
|
|
res_data = np.empty(nnz, dtype=self.dtype)
|
||
|
|
csr_row_slice(start, stop, step, self.indptr, self.indices,
|
||
|
|
self.data, res_indices, res_data)
|
||
|
|
|
||
|
|
return self.__class__((res_data, res_indices, res_indptr),
|
||
|
|
shape=new_shape, copy=False)
|
||
|
|
|
||
|
|
def _minor_index_fancy(self, idx):
|
||
|
|
"""Index along the minor axis where idx is an array of ints.
|
||
|
|
"""
|
||
|
|
idx_dtype = self._get_index_dtype((self.indices, self.indptr))
|
||
|
|
indices = self.indices.astype(idx_dtype, copy=False)
|
||
|
|
indptr = self.indptr.astype(idx_dtype, copy=False)
|
||
|
|
|
||
|
|
idx = np.asarray(idx, dtype=idx_dtype).ravel()
|
||
|
|
|
||
|
|
M, N = self._swap(self._shape_as_2d)
|
||
|
|
k = len(idx)
|
||
|
|
new_shape = self._swap((M, k)) if self.ndim == 2 else (k,)
|
||
|
|
if k == 0:
|
||
|
|
return self.__class__(new_shape, dtype=self.dtype)
|
||
|
|
|
||
|
|
# pass 1: count idx entries and compute new indptr
|
||
|
|
col_offsets = np.zeros(N, dtype=idx_dtype)
|
||
|
|
res_indptr = np.empty_like(self.indptr, dtype=idx_dtype)
|
||
|
|
csr_column_index1(
|
||
|
|
k,
|
||
|
|
idx,
|
||
|
|
M,
|
||
|
|
N,
|
||
|
|
indptr,
|
||
|
|
indices,
|
||
|
|
col_offsets,
|
||
|
|
res_indptr,
|
||
|
|
)
|
||
|
|
|
||
|
|
# pass 2: copy indices/data for selected idxs
|
||
|
|
col_order = np.argsort(idx).astype(idx_dtype, copy=False)
|
||
|
|
nnz = res_indptr[-1]
|
||
|
|
res_indices = np.empty(nnz, dtype=idx_dtype)
|
||
|
|
res_data = np.empty(nnz, dtype=self.dtype)
|
||
|
|
csr_column_index2(col_order, col_offsets, len(self.indices),
|
||
|
|
indices, self.data, res_indices, res_data)
|
||
|
|
return self.__class__((res_data, res_indices, res_indptr),
|
||
|
|
shape=new_shape, copy=False)
|
||
|
|
|
||
|
|
def _minor_slice(self, idx, copy=False):
|
||
|
|
"""Index along the minor axis where idx is a slice object.
|
||
|
|
"""
|
||
|
|
if idx == slice(None):
|
||
|
|
return self.copy() if copy else self
|
||
|
|
|
||
|
|
M, N = self._swap(self._shape_as_2d)
|
||
|
|
start, stop, step = idx.indices(N)
|
||
|
|
N = len(range(start, stop, step))
|
||
|
|
if N == 0:
|
||
|
|
return self.__class__(self._swap((M, N)), dtype=self.dtype)
|
||
|
|
if step == 1:
|
||
|
|
return self._get_submatrix(minor=idx, copy=copy)
|
||
|
|
# TODO: don't fall back to fancy indexing here
|
||
|
|
return self._minor_index_fancy(np.arange(start, stop, step))
|
||
|
|
|
||
|
|
def _get_submatrix(self, major=None, minor=None, copy=False):
|
||
|
|
"""Return a submatrix of this matrix.
|
||
|
|
|
||
|
|
major, minor: None, int, or slice with step 1
|
||
|
|
"""
|
||
|
|
M, N = self._swap(self._shape_as_2d)
|
||
|
|
i0, i1 = _process_slice(major, M)
|
||
|
|
j0, j1 = _process_slice(minor, N)
|
||
|
|
|
||
|
|
if i0 == 0 and j0 == 0 and i1 == M and j1 == N:
|
||
|
|
return self.copy() if copy else self
|
||
|
|
|
||
|
|
indptr, indices, data = get_csr_submatrix(
|
||
|
|
M, N, self.indptr, self.indices, self.data, i0, i1, j0, j1)
|
||
|
|
|
||
|
|
shape = self._swap((i1 - i0, j1 - j0))
|
||
|
|
if self.ndim == 1:
|
||
|
|
shape = (shape[1],)
|
||
|
|
return self.__class__((data, indices, indptr), shape=shape,
|
||
|
|
dtype=self.dtype, copy=False)
|
||
|
|
|
||
|
|
def _set_int(self, idx, x):
|
||
|
|
major, minor = self._swap((0, idx))
|
||
|
|
self._set_many(major, minor, x)
|
||
|
|
|
||
|
|
def _set_array(self, idx, x):
|
||
|
|
major, minor = self._swap((np.zeros_like(idx), idx))
|
||
|
|
broadcast = x.shape[-1] == 1 and minor.shape[-1] != 1
|
||
|
|
if broadcast:
|
||
|
|
x = np.repeat(x.data, idx.shape[-1])
|
||
|
|
self._set_many(major, minor, x)
|
||
|
|
|
||
|
|
def _set_intXint(self, row, col, x):
|
||
|
|
i, j = self._swap((row, col))
|
||
|
|
self._set_many(i, j, x)
|
||
|
|
|
||
|
|
def _set_arrayXarray(self, row, col, x):
|
||
|
|
i, j = self._swap((row, col))
|
||
|
|
self._set_many(i, j, x)
|
||
|
|
|
||
|
|
def _set_arrayXarray_sparse(self, row, col, x):
|
||
|
|
# clear entries that will be overwritten
|
||
|
|
self._zero_many(*self._swap((row, col)))
|
||
|
|
|
||
|
|
M, N = row.shape # matches col.shape
|
||
|
|
broadcast_row = M != 1 and x.shape[0] == 1
|
||
|
|
broadcast_col = N != 1 and x.shape[1] == 1
|
||
|
|
r, c = x.row, x.col
|
||
|
|
|
||
|
|
x = np.asarray(x.data, dtype=self.dtype)
|
||
|
|
if x.size == 0:
|
||
|
|
return
|
||
|
|
|
||
|
|
if broadcast_row:
|
||
|
|
r = np.repeat(np.arange(M), len(r))
|
||
|
|
c = np.tile(c, M)
|
||
|
|
x = np.tile(x, M)
|
||
|
|
if broadcast_col:
|
||
|
|
r = np.repeat(r, N)
|
||
|
|
c = np.tile(np.arange(N), len(c))
|
||
|
|
x = np.repeat(x, N)
|
||
|
|
# only assign entries in the new sparsity structure
|
||
|
|
i, j = self._swap((row[r, c], col[r, c]))
|
||
|
|
self._set_many(i, j, x)
|
||
|
|
|
||
|
|
def _setdiag(self, values, k):
|
||
|
|
if 0 in self.shape:
|
||
|
|
return
|
||
|
|
if self.ndim == 1:
|
||
|
|
raise NotImplementedError('diagonals cant be set in 1d arrays')
|
||
|
|
|
||
|
|
M, N = self.shape
|
||
|
|
broadcast = (values.ndim == 0)
|
||
|
|
|
||
|
|
if k < 0:
|
||
|
|
if broadcast:
|
||
|
|
max_index = min(M + k, N)
|
||
|
|
else:
|
||
|
|
max_index = min(M + k, N, len(values))
|
||
|
|
i = np.arange(-k, max_index - k, dtype=self.indices.dtype)
|
||
|
|
j = np.arange(max_index, dtype=self.indices.dtype)
|
||
|
|
|
||
|
|
else:
|
||
|
|
if broadcast:
|
||
|
|
max_index = min(M, N - k)
|
||
|
|
else:
|
||
|
|
max_index = min(M, N - k, len(values))
|
||
|
|
i = np.arange(max_index, dtype=self.indices.dtype)
|
||
|
|
j = np.arange(k, k + max_index, dtype=self.indices.dtype)
|
||
|
|
|
||
|
|
if not broadcast:
|
||
|
|
values = values[:len(i)]
|
||
|
|
|
||
|
|
x = np.atleast_1d(np.asarray(values, dtype=self.dtype)).ravel()
|
||
|
|
if x.squeeze().shape != i.squeeze().shape:
|
||
|
|
x = np.broadcast_to(x, i.shape)
|
||
|
|
if x.size == 0:
|
||
|
|
return
|
||
|
|
|
||
|
|
M, N = self._swap((M, N))
|
||
|
|
i, j = self._swap((i, j))
|
||
|
|
n_samples = x.size
|
||
|
|
offsets = np.empty(n_samples, dtype=self.indices.dtype)
|
||
|
|
ret = csr_sample_offsets(M, N, self.indptr, self.indices, n_samples,
|
||
|
|
i, j, offsets)
|
||
|
|
if ret == 1:
|
||
|
|
# rinse and repeat
|
||
|
|
self.sum_duplicates()
|
||
|
|
csr_sample_offsets(M, N, self.indptr, self.indices, n_samples,
|
||
|
|
i, j, offsets)
|
||
|
|
if -1 not in offsets:
|
||
|
|
# only affects existing non-zero cells
|
||
|
|
self.data[offsets] = x
|
||
|
|
return
|
||
|
|
|
||
|
|
mask = (offsets <= -1)
|
||
|
|
# Boundary between csc and convert to coo
|
||
|
|
# The value 0.001 is justified in gh-19962#issuecomment-1920499678
|
||
|
|
if mask.sum() < self.nnz * 0.001:
|
||
|
|
# create new entries
|
||
|
|
i = i[mask]
|
||
|
|
j = j[mask]
|
||
|
|
self._insert_many(i, j, x[mask])
|
||
|
|
# replace existing entries
|
||
|
|
mask = ~mask
|
||
|
|
self.data[offsets[mask]] = x[mask]
|
||
|
|
else:
|
||
|
|
# convert to coo for _set_diag
|
||
|
|
coo = self.tocoo()
|
||
|
|
coo._setdiag(values, k)
|
||
|
|
arrays = coo._coo_to_compressed(self._swap)
|
||
|
|
self.indptr, self.indices, self.data, _ = arrays
|
||
|
|
|
||
|
|
def _prepare_indices(self, i, j):
|
||
|
|
M, N = self._swap(self._shape_as_2d)
|
||
|
|
|
||
|
|
def check_bounds(indices, bound):
|
||
|
|
idx = indices.max()
|
||
|
|
if idx >= bound:
|
||
|
|
raise IndexError('index (%d) out of range (>= %d)' %
|
||
|
|
(idx, bound))
|
||
|
|
idx = indices.min()
|
||
|
|
if idx < -bound:
|
||
|
|
raise IndexError('index (%d) out of range (< -%d)' %
|
||
|
|
(idx, bound))
|
||
|
|
|
||
|
|
i = np.atleast_1d(np.asarray(i, dtype=self.indices.dtype)).ravel()
|
||
|
|
j = np.atleast_1d(np.asarray(j, dtype=self.indices.dtype)).ravel()
|
||
|
|
check_bounds(i, M)
|
||
|
|
check_bounds(j, N)
|
||
|
|
return i, j, M, N
|
||
|
|
|
||
|
|
def _set_many(self, i, j, x):
|
||
|
|
"""Sets value at each (i, j) to x
|
||
|
|
|
||
|
|
Here (i,j) index major and minor respectively, and must not contain
|
||
|
|
duplicate entries.
|
||
|
|
"""
|
||
|
|
i, j, M, N = self._prepare_indices(i, j)
|
||
|
|
x = np.atleast_1d(np.asarray(x, dtype=self.dtype)).ravel()
|
||
|
|
|
||
|
|
n_samples = x.size
|
||
|
|
offsets = np.empty(n_samples, dtype=self.indices.dtype)
|
||
|
|
ret = csr_sample_offsets(M, N, self.indptr, self.indices, n_samples,
|
||
|
|
i, j, offsets)
|
||
|
|
if ret == 1:
|
||
|
|
# rinse and repeat
|
||
|
|
self.sum_duplicates()
|
||
|
|
csr_sample_offsets(M, N, self.indptr, self.indices, n_samples,
|
||
|
|
i, j, offsets)
|
||
|
|
|
||
|
|
if -1 not in offsets:
|
||
|
|
# only affects existing non-zero cells
|
||
|
|
self.data[offsets] = x
|
||
|
|
return
|
||
|
|
|
||
|
|
else:
|
||
|
|
warn(f"Changing the sparsity structure of a {self.__class__.__name__} is"
|
||
|
|
" expensive. lil and dok are more efficient.",
|
||
|
|
SparseEfficiencyWarning, stacklevel=3)
|
||
|
|
# replace where possible
|
||
|
|
mask = offsets > -1
|
||
|
|
self.data[offsets[mask]] = x[mask]
|
||
|
|
# only insertions remain
|
||
|
|
mask = ~mask
|
||
|
|
i = i[mask]
|
||
|
|
i[i < 0] += M
|
||
|
|
j = j[mask]
|
||
|
|
j[j < 0] += N
|
||
|
|
self._insert_many(i, j, x[mask])
|
||
|
|
|
||
|
|
def _zero_many(self, i, j):
|
||
|
|
"""Sets value at each (i, j) to zero, preserving sparsity structure.
|
||
|
|
|
||
|
|
Here (i,j) index major and minor respectively.
|
||
|
|
"""
|
||
|
|
i, j, M, N = self._prepare_indices(i, j)
|
||
|
|
|
||
|
|
n_samples = len(i)
|
||
|
|
offsets = np.empty(n_samples, dtype=self.indices.dtype)
|
||
|
|
ret = csr_sample_offsets(M, N, self.indptr, self.indices, n_samples,
|
||
|
|
i, j, offsets)
|
||
|
|
if ret == 1:
|
||
|
|
# rinse and repeat
|
||
|
|
self.sum_duplicates()
|
||
|
|
csr_sample_offsets(M, N, self.indptr, self.indices, n_samples,
|
||
|
|
i, j, offsets)
|
||
|
|
|
||
|
|
# only assign zeros to the existing sparsity structure
|
||
|
|
self.data[offsets[offsets > -1]] = 0
|
||
|
|
|
||
|
|
def _insert_many(self, i, j, x):
|
||
|
|
"""Inserts new nonzero at each (i, j) with value x
|
||
|
|
|
||
|
|
Here (i,j) index major and minor respectively.
|
||
|
|
i, j and x must be non-empty, 1d arrays.
|
||
|
|
Inserts each major group (e.g. all entries per row) at a time.
|
||
|
|
Maintains has_sorted_indices property.
|
||
|
|
Modifies i, j, x in place.
|
||
|
|
"""
|
||
|
|
order = np.argsort(i, kind='mergesort') # stable for duplicates
|
||
|
|
i = i.take(order, mode='clip')
|
||
|
|
j = j.take(order, mode='clip')
|
||
|
|
x = x.take(order, mode='clip')
|
||
|
|
|
||
|
|
do_sort = self.has_sorted_indices
|
||
|
|
|
||
|
|
# Update index data type
|
||
|
|
idx_dtype = self._get_index_dtype((self.indices, self.indptr),
|
||
|
|
maxval=(self.indptr[-1] + x.size))
|
||
|
|
self.indptr = np.asarray(self.indptr, dtype=idx_dtype)
|
||
|
|
self.indices = np.asarray(self.indices, dtype=idx_dtype)
|
||
|
|
i = np.asarray(i, dtype=idx_dtype)
|
||
|
|
j = np.asarray(j, dtype=idx_dtype)
|
||
|
|
|
||
|
|
# Collate old and new in chunks by major index
|
||
|
|
indices_parts = []
|
||
|
|
data_parts = []
|
||
|
|
ui, ui_indptr = np.unique(i, return_index=True)
|
||
|
|
ui_indptr = np.append(ui_indptr, len(j))
|
||
|
|
new_nnzs = np.diff(ui_indptr)
|
||
|
|
prev = 0
|
||
|
|
for c, (ii, js, je) in enumerate(zip(ui, ui_indptr, ui_indptr[1:])):
|
||
|
|
# old entries
|
||
|
|
start = self.indptr[prev]
|
||
|
|
stop = self.indptr[ii]
|
||
|
|
indices_parts.append(self.indices[start:stop])
|
||
|
|
data_parts.append(self.data[start:stop])
|
||
|
|
|
||
|
|
# handle duplicate j: keep last setting
|
||
|
|
uj, uj_indptr = np.unique(j[js:je][::-1], return_index=True)
|
||
|
|
if len(uj) == je - js:
|
||
|
|
indices_parts.append(j[js:je])
|
||
|
|
data_parts.append(x[js:je])
|
||
|
|
else:
|
||
|
|
indices_parts.append(j[js:je][::-1][uj_indptr])
|
||
|
|
data_parts.append(x[js:je][::-1][uj_indptr])
|
||
|
|
new_nnzs[c] = len(uj)
|
||
|
|
|
||
|
|
prev = ii
|
||
|
|
|
||
|
|
# remaining old entries
|
||
|
|
start = self.indptr[ii]
|
||
|
|
indices_parts.append(self.indices[start:])
|
||
|
|
data_parts.append(self.data[start:])
|
||
|
|
|
||
|
|
# update attributes
|
||
|
|
self.indices = np.concatenate(indices_parts)
|
||
|
|
self.data = np.concatenate(data_parts)
|
||
|
|
nnzs = np.empty(self.indptr.shape, dtype=idx_dtype)
|
||
|
|
nnzs[0] = idx_dtype(0)
|
||
|
|
indptr_diff = np.diff(self.indptr)
|
||
|
|
indptr_diff[ui] += new_nnzs
|
||
|
|
nnzs[1:] = indptr_diff
|
||
|
|
self.indptr = np.cumsum(nnzs, out=nnzs)
|
||
|
|
|
||
|
|
if do_sort:
|
||
|
|
# TODO: only sort where necessary
|
||
|
|
self.has_sorted_indices = False
|
||
|
|
self.sort_indices()
|
||
|
|
|
||
|
|
self.check_format(full_check=False)
|
||
|
|
|
||
|
|
######################
|
||
|
|
# Conversion methods #
|
||
|
|
######################
|
||
|
|
|
||
|
|
def tocoo(self, copy=True):
|
||
|
|
if self.ndim == 1:
|
||
|
|
csr = self.tocsr()
|
||
|
|
return self._coo_container((csr.data, (csr.indices,)), csr.shape, copy=copy)
|
||
|
|
major_dim, minor_dim = self._swap(self.shape)
|
||
|
|
minor_indices = self.indices
|
||
|
|
major_indices = np.empty(len(minor_indices), dtype=self.indices.dtype)
|
||
|
|
_sparsetools.expandptr(major_dim, self.indptr, major_indices)
|
||
|
|
coords = self._swap((major_indices, minor_indices))
|
||
|
|
|
||
|
|
return self._coo_container(
|
||
|
|
(self.data, coords), self.shape, copy=copy, dtype=self.dtype
|
||
|
|
)
|
||
|
|
|
||
|
|
tocoo.__doc__ = _spbase.tocoo.__doc__
|
||
|
|
|
||
|
|
def toarray(self, order=None, out=None):
|
||
|
|
if out is None and order is None:
|
||
|
|
order = self._swap('cf')[0]
|
||
|
|
out = self._process_toarray_args(order, out)
|
||
|
|
if not (out.flags.c_contiguous or out.flags.f_contiguous):
|
||
|
|
raise ValueError('Output array must be C or F contiguous')
|
||
|
|
# align ideal order with output array order
|
||
|
|
if out.flags.c_contiguous:
|
||
|
|
x = self.tocsr()
|
||
|
|
y = out
|
||
|
|
else:
|
||
|
|
x = self.tocsc()
|
||
|
|
y = out.T
|
||
|
|
M, N = x._swap(x._shape_as_2d)
|
||
|
|
csr_todense(M, N, x.indptr, x.indices, x.data, y)
|
||
|
|
return out
|
||
|
|
|
||
|
|
toarray.__doc__ = _spbase.toarray.__doc__
|
||
|
|
|
||
|
|
##############################################################
|
||
|
|
# methods that examine or modify the internal data structure #
|
||
|
|
##############################################################
|
||
|
|
|
||
|
|
def eliminate_zeros(self):
|
||
|
|
"""Remove zero entries from the array/matrix
|
||
|
|
|
||
|
|
This is an *in place* operation.
|
||
|
|
"""
|
||
|
|
M, N = self._swap(self._shape_as_2d)
|
||
|
|
_sparsetools.csr_eliminate_zeros(M, N, self.indptr, self.indices, self.data)
|
||
|
|
self.prune() # nnz may have changed
|
||
|
|
|
||
|
|
@property
|
||
|
|
def has_canonical_format(self) -> bool:
|
||
|
|
"""Whether the array/matrix has sorted indices and no duplicates
|
||
|
|
|
||
|
|
Returns
|
||
|
|
- True: if the above applies
|
||
|
|
- False: otherwise
|
||
|
|
|
||
|
|
has_canonical_format implies has_sorted_indices, so if the latter flag
|
||
|
|
is False, so will the former be; if the former is found True, the
|
||
|
|
latter flag is also set.
|
||
|
|
"""
|
||
|
|
# first check to see if result was cached
|
||
|
|
if not getattr(self, '_has_sorted_indices', True):
|
||
|
|
# not sorted => not canonical
|
||
|
|
self._has_canonical_format = False
|
||
|
|
elif not hasattr(self, '_has_canonical_format'):
|
||
|
|
self.has_canonical_format = bool(
|
||
|
|
_sparsetools.csr_has_canonical_format(
|
||
|
|
len(self.indptr) - 1, self.indptr, self.indices)
|
||
|
|
)
|
||
|
|
return self._has_canonical_format
|
||
|
|
|
||
|
|
@has_canonical_format.setter
|
||
|
|
def has_canonical_format(self, val: bool):
|
||
|
|
self._has_canonical_format = bool(val)
|
||
|
|
if val:
|
||
|
|
self.has_sorted_indices = True
|
||
|
|
|
||
|
|
def sum_duplicates(self):
|
||
|
|
"""Eliminate duplicate entries by adding them together
|
||
|
|
|
||
|
|
This is an *in place* operation.
|
||
|
|
"""
|
||
|
|
if self.has_canonical_format:
|
||
|
|
return
|
||
|
|
self.sort_indices()
|
||
|
|
|
||
|
|
M, N = self._swap(self._shape_as_2d)
|
||
|
|
_sparsetools.csr_sum_duplicates(M, N, self.indptr, self.indices, self.data)
|
||
|
|
|
||
|
|
self.prune() # nnz may have changed
|
||
|
|
self.has_canonical_format = True
|
||
|
|
|
||
|
|
@property
|
||
|
|
def has_sorted_indices(self) -> bool:
|
||
|
|
"""Whether the indices are sorted
|
||
|
|
|
||
|
|
Returns
|
||
|
|
- True: if the indices of the array/matrix are in sorted order
|
||
|
|
- False: otherwise
|
||
|
|
"""
|
||
|
|
# first check to see if result was cached
|
||
|
|
if not hasattr(self, '_has_sorted_indices'):
|
||
|
|
self._has_sorted_indices = bool(
|
||
|
|
_sparsetools.csr_has_sorted_indices(
|
||
|
|
len(self.indptr) - 1, self.indptr, self.indices)
|
||
|
|
)
|
||
|
|
return self._has_sorted_indices
|
||
|
|
|
||
|
|
@has_sorted_indices.setter
|
||
|
|
def has_sorted_indices(self, val: bool):
|
||
|
|
self._has_sorted_indices = bool(val)
|
||
|
|
|
||
|
|
|
||
|
|
def sorted_indices(self):
|
||
|
|
"""Return a copy of this array/matrix with sorted indices
|
||
|
|
"""
|
||
|
|
A = self.copy()
|
||
|
|
A.sort_indices()
|
||
|
|
return A
|
||
|
|
|
||
|
|
# an alternative that has linear complexity is the following
|
||
|
|
# although the previous option is typically faster
|
||
|
|
# return self.toother().toother()
|
||
|
|
|
||
|
|
def sort_indices(self):
|
||
|
|
"""Sort the indices of this array/matrix *in place*
|
||
|
|
"""
|
||
|
|
|
||
|
|
if not self.has_sorted_indices:
|
||
|
|
_sparsetools.csr_sort_indices(len(self.indptr) - 1, self.indptr,
|
||
|
|
self.indices, self.data)
|
||
|
|
self.has_sorted_indices = True
|
||
|
|
|
||
|
|
def prune(self):
|
||
|
|
"""Remove empty space after all non-zero elements.
|
||
|
|
"""
|
||
|
|
major_dim = self._swap(self._shape_as_2d)[0]
|
||
|
|
|
||
|
|
if len(self.indptr) != major_dim + 1:
|
||
|
|
raise ValueError('index pointer has invalid length')
|
||
|
|
if len(self.indices) < self.nnz:
|
||
|
|
raise ValueError('indices array has fewer than nnz elements')
|
||
|
|
if len(self.data) < self.nnz:
|
||
|
|
raise ValueError('data array has fewer than nnz elements')
|
||
|
|
|
||
|
|
self.indices = _prune_array(self.indices[:self.nnz])
|
||
|
|
self.data = _prune_array(self.data[:self.nnz])
|
||
|
|
|
||
|
|
def resize(self, *shape):
|
||
|
|
shape = check_shape(shape, allow_1d=isinstance(self, sparray))
|
||
|
|
|
||
|
|
if hasattr(self, 'blocksize'):
|
||
|
|
bm, bn = self.blocksize
|
||
|
|
new_M, rm = divmod(shape[0], bm)
|
||
|
|
new_N, rn = divmod(shape[1], bn)
|
||
|
|
if rm or rn:
|
||
|
|
raise ValueError(f"shape must be divisible into {self.blocksize}"
|
||
|
|
f" blocks. Got {shape}")
|
||
|
|
M, N = self.shape[0] // bm, self.shape[1] // bn
|
||
|
|
else:
|
||
|
|
new_M, new_N = self._swap(shape if len(shape)>1 else (1, shape[0]))
|
||
|
|
M, N = self._swap(self._shape_as_2d)
|
||
|
|
|
||
|
|
if new_M < M:
|
||
|
|
self.indices = self.indices[:self.indptr[new_M]]
|
||
|
|
self.data = self.data[:self.indptr[new_M]]
|
||
|
|
self.indptr = self.indptr[:new_M + 1]
|
||
|
|
elif new_M > M:
|
||
|
|
self.indptr = np.resize(self.indptr, new_M + 1)
|
||
|
|
self.indptr[M + 1:].fill(self.indptr[M])
|
||
|
|
|
||
|
|
if new_N < N:
|
||
|
|
mask = self.indices < new_N
|
||
|
|
if not np.all(mask):
|
||
|
|
self.indices = self.indices[mask]
|
||
|
|
self.data = self.data[mask]
|
||
|
|
major_index, val = self._minor_reduce(np.add, mask)
|
||
|
|
self.indptr.fill(0)
|
||
|
|
self.indptr[1:][major_index] = val
|
||
|
|
np.cumsum(self.indptr, out=self.indptr)
|
||
|
|
|
||
|
|
self._shape = shape
|
||
|
|
|
||
|
|
resize.__doc__ = _spbase.resize.__doc__
|
||
|
|
|
||
|
|
###################
|
||
|
|
# utility methods #
|
||
|
|
###################
|
||
|
|
|
||
|
|
# needed by _data_matrix
|
||
|
|
def _with_data(self, data, copy=True):
|
||
|
|
"""Returns a matrix with the same sparsity structure as self,
|
||
|
|
but with different data. By default the structure arrays
|
||
|
|
(i.e. .indptr and .indices) are copied.
|
||
|
|
"""
|
||
|
|
if copy:
|
||
|
|
return self.__class__((data, self.indices.copy(),
|
||
|
|
self.indptr.copy()),
|
||
|
|
shape=self.shape,
|
||
|
|
dtype=data.dtype)
|
||
|
|
else:
|
||
|
|
return self.__class__((data, self.indices, self.indptr),
|
||
|
|
shape=self.shape, dtype=data.dtype)
|
||
|
|
|
||
|
|
def _binopt(self, other, op):
|
||
|
|
"""apply the binary operation fn to two sparse matrices."""
|
||
|
|
other = self.__class__(other)
|
||
|
|
|
||
|
|
# e.g. csr_plus_csr, csr_minus_csr, etc.
|
||
|
|
fn = getattr(_sparsetools, self.format + op + self.format)
|
||
|
|
|
||
|
|
maxnnz = self.nnz + other.nnz
|
||
|
|
idx_dtype = self._get_index_dtype((self.indptr, self.indices,
|
||
|
|
other.indptr, other.indices),
|
||
|
|
maxval=maxnnz)
|
||
|
|
indptr = np.empty(self.indptr.shape, dtype=idx_dtype)
|
||
|
|
indices = np.empty(maxnnz, dtype=idx_dtype)
|
||
|
|
|
||
|
|
bool_ops = ['_ne_', '_lt_', '_gt_', '_le_', '_ge_']
|
||
|
|
if op in bool_ops:
|
||
|
|
data = np.empty(maxnnz, dtype=np.bool_)
|
||
|
|
else:
|
||
|
|
data = np.empty(maxnnz, dtype=upcast(self.dtype, other.dtype))
|
||
|
|
|
||
|
|
M, N = self._shape_as_2d
|
||
|
|
fn(M, N,
|
||
|
|
np.asarray(self.indptr, dtype=idx_dtype),
|
||
|
|
np.asarray(self.indices, dtype=idx_dtype),
|
||
|
|
self.data,
|
||
|
|
np.asarray(other.indptr, dtype=idx_dtype),
|
||
|
|
np.asarray(other.indices, dtype=idx_dtype),
|
||
|
|
other.data,
|
||
|
|
indptr, indices, data)
|
||
|
|
|
||
|
|
A = self.__class__((data, indices, indptr), shape=self.shape)
|
||
|
|
A.prune()
|
||
|
|
|
||
|
|
return A
|
||
|
|
|
||
|
|
def _divide_sparse(self, other):
|
||
|
|
"""
|
||
|
|
Divide this matrix by a second sparse matrix.
|
||
|
|
"""
|
||
|
|
if other.shape != self.shape:
|
||
|
|
raise ValueError('inconsistent shapes')
|
||
|
|
|
||
|
|
r = self._binopt(other, '_eldiv_')
|
||
|
|
|
||
|
|
if np.issubdtype(r.dtype, np.inexact):
|
||
|
|
# Eldiv leaves entries outside the combined sparsity
|
||
|
|
# pattern empty, so they must be filled manually.
|
||
|
|
# Everything outside of other's sparsity is NaN, and everything
|
||
|
|
# inside it is either zero or defined by eldiv.
|
||
|
|
out = np.empty(self.shape, dtype=self.dtype)
|
||
|
|
out.fill(np.nan)
|
||
|
|
coords = other.nonzero()
|
||
|
|
if self.ndim == 1:
|
||
|
|
coords = (coords[-1],)
|
||
|
|
out[coords] = 0
|
||
|
|
r = r.tocoo()
|
||
|
|
out[r.coords] = r.data
|
||
|
|
return self._container(out)
|
||
|
|
else:
|
||
|
|
# integers types go with nan <-> 0
|
||
|
|
out = r
|
||
|
|
return out
|
||
|
|
|
||
|
|
|
||
|
|
def _make_diagonal_csr(data, is_array=False):
|
||
|
|
"""build diagonal csc_array/csr_array => self._csr_container
|
||
|
|
|
||
|
|
Parameter `data` should be a raveled numpy array holding the
|
||
|
|
values on the diagonal of the resulting sparse matrix.
|
||
|
|
"""
|
||
|
|
from ._csr import csr_array, csr_matrix
|
||
|
|
csr_array = csr_array if is_array else csr_matrix
|
||
|
|
|
||
|
|
N = len(data)
|
||
|
|
indptr = np.arange(N + 1)
|
||
|
|
indices = indptr[:-1]
|
||
|
|
|
||
|
|
return csr_array((data, indices, indptr), shape=(N, N))
|
||
|
|
|
||
|
|
|
||
|
|
def _process_slice(sl, num):
|
||
|
|
if sl is None:
|
||
|
|
i0, i1 = 0, num
|
||
|
|
elif isinstance(sl, slice):
|
||
|
|
i0, i1, stride = sl.indices(num)
|
||
|
|
if stride != 1:
|
||
|
|
raise ValueError('slicing with step != 1 not supported')
|
||
|
|
i0 = min(i0, i1) # give an empty slice when i0 > i1
|
||
|
|
elif isintlike(sl):
|
||
|
|
if sl < 0:
|
||
|
|
sl += num
|
||
|
|
i0, i1 = sl, sl + 1
|
||
|
|
if i0 < 0 or i1 > num:
|
||
|
|
raise IndexError(f'index out of bounds: 0 <= {i0} < {i1} <= {num}')
|
||
|
|
else:
|
||
|
|
raise TypeError('expected slice or scalar')
|
||
|
|
|
||
|
|
return i0, i1
|